The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon​ book, the fare is reduced to​ $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon​ book?

Answers

Answer 1

Answer:

21

Step-by-step explanation:

The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

Solution

Let

y = number of bus fares.

Cost of bus fares without coupon book = 1.50y

Cost of bus fares with coupon book = .50y + 21

Equate cost of bus fares without coupon book and cost of bus fares with coupon book

1.50y = .50y + 21

Subtract .50y from both sides of the equation

1.50y - .50y = .50y + 21 - .50y

1.00y = 21

Divide both sides by 1.00

y = 21 / 1.00

y = 21 times


Related Questions

Need to know asap. If m<8=23°, find the measure of each missing angle. Give your reasoning.

Answers

Answer:

157

23

157

23

157

23

157

Step-by-step explanation:

a straight line is 180 degrees. angle 8 is 23 degrees. we want to know the rest of the angles measures. 180-23=157. angles directly across the vertex are the same measure. and since the lines are parallel 2,4,6,and 8 all have the same measure and 1,3,5,and 7 have the same measure.

look at attached photo

train A arrives at the station at 11:50 Am and leaves the station at 1:50 PM.how long does it stay in the station?​

Answers

Answer:

2 hrs.

Step-by-step explanation:

11:50am ----> 12:50pm (1 hr.)

                                      +

12:50pm ---> 1:50pm    (1 hr.)

                                         = 2 hrs

The measures of two supplementary angles are 8w + 58 and 16w + 14. Find the measures of the angles

Answers

Answer:

34

Step-by-step explanation

the low temperature in Anchorage, Alaska today was -4°F. The low
temperature in Los Angeles, California was 63°F. What is the difference in
the two low temperatures?

Answers

Answer:

67°F

Step-by-step explanation:

-4-63 = - 67°F

Therefore temperature difference=67

If m<TUV = (9x + 1), m<TUW = (7x-9), and m<WUV = (5x - 11), find the value of x. ​

Answers

Answer: x = 7

Step-by-step explanation:

Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.

Then, m∠TUV  = m∠ TUW + m ∠ WUV               (i)

Given,  m∠TUV  = (9x + 1) , m∠ TUW =  (7x-9) and m ∠ WUV = (5x - 11)

Substitute these values in (i), we get

[tex]9x+1=7x-9+5x-11\\\\\Rightarrow\ 9x+1= 7x+5x-9-11\\\\\Rightarrow\ 9x+1=12x-20\\\\\Rightarrow\ 12x-9x= 1+20\\\\\Rightarrow\ 3x= 21\\\\\Rightarrow\ x=\dfrac{21}{3}\\\\\Rightarrow\ x=7[/tex]

Hence, the value of x = 7.

Answer:

x=7

Step-by-step explanation:

Ben works at a mobile phone store, where he earns a flat $80 for each 8-hour shift. He also earns a commission of $20 for each phone that he sells. If e stands for Ben's earnings and m is the number of mobile phones he sells, which of the following equations describes the amount of money that he earns in one shift? Question 6 options: A) e = m + 100 B) e = 20m + 80 C) e = –20m + 80 D) e = m + 80

Answers

Answer:

b

Step-by-step explanation:

he makes 80 dollars for a normal shift

20 dollars for every phone he sells 20m

and e is the total amount

e=20m+80

I'm thinking of a number.My number is a whole number.My number is larger than 100.My number mod 17 = 9.My number is smaller than 200.What could be number be? (Give one possible answer. There are several correct answers.)

Answers

Answer:

the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Step-by-step explanation:

From the given information, let the number that I'm thinking of to be p

p is > 100

p  is < 200

and p = 9 (mod 17)

This implies that 17 ÷ p -9

p - 9 = 17q

here;

q is an integer

p = 9 + 17q

However,

100 < p < 200

= 100 < 9+17q < 200

= 100 - 9 < 17q < 200 -9

= 91 < 17q < 191

Dividing both sides by 17; we have:

= [tex]\dfrac{91}{17}< q < \dfrac{191}{17}[/tex]

= 5.45 < q < 11.24

thus the possible values of q are between 6,7,8,9,10 and 11

The possible values of p can now be:

p = 9 +17(q)

p = 9+17(6), 9+17(7), 9+17(8), 9+17(9), 9+17(10), 9+17(11)

p = 111, 128, 145, 162, 179, 196

Therefore, the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6y=−18.

Answers

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. [tex]2x-4y=12[/tex]

[tex]-3x+6y=-15[/tex]

b. [tex]2x-4y=12[/tex]

[tex]-5x+3y=10[/tex]

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]

1. One solution:

There will be one solution to the system of equations,  If we have:

[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]

2. Infinitely Many Solutions: (Identical lines in the system)

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}[/tex]

3. No Solution:(Parallel lines)

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]

Now, let us discuss the system of equations one by one:

a. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]

[tex]-3x+6y=-15[/tex] OR [tex]-3x+6y+15=0[/tex]

[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15[/tex]

Here, the ratio:

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]

Therefore, no solution i.e. parallel lines.

b. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]

[tex]-5x+3y=10[/tex] OR [tex]-5x+3y-10=0[/tex]

[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10[/tex]

[tex]\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}[/tex]

[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

Which graph shows the solution of the following system of inequalities :

F
G
H
J

Answers

G is the right answer I just did it no cap

Find an equation for the surface obtained by rotating the line x = 6y about the x-axis.

Answers

Answer:

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

Step-by-step explanation:

If we loo at the xy plane and consider the point (6y, y, 0), it looks like a circular path that is a cone as the curve is rotated about the x axis. The equation of the cone has the form:

[tex]\frac{x^2}{c^2}=\frac{y^2}{a^2}+\frac{z^2}{b^2}[/tex]

Given that x = 6y, to make the equation to be in the form as seen above, we square x = 6y, hence:

x² = (6y)²

x² = 36y²

The path parallel to yz axis are circles, so the equation should be as that of a circle. We need to add 36z², hence:

x² = 36y² + 36z²

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

[tex](\frac{x}{6})^2=y^2+z^2[/tex]

This equation is that of a circle with radius of r = y = x/6, the resulting surface is that of a cone

What's the difference between 2x+2 and 2x+2=10?

Answers

Answer:

10

Step-by-step explanation:

Given  both expression

2x+2  and

2x+2=10

the difference inlvosves basically the subtraction of one expression from the other expression.

now before we perform the subtraction operation, let us do some preprocessing.

let us equate the first  and second expression to zero

2x+2=0 and

2x+2-10=0

we can now subtract

(2x+2)-(2x+2-10)=0

open bracket

2x+2-2x-2+10=0

collect like terms

2x-2x+2-2+10=0

0+0+10=0

the answer is 10

25×3/5×1/12 Multiply and simplify

Answers

[tex]25 \times \frac{3}{5} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{3}{1} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{1}{1} \times \frac{1}{4} = [/tex]

[tex]5 \times 1 \times \frac{1}{4} = [/tex]

[tex]5 \times \frac{1}{4} = [/tex]

[tex] \frac{5}{4} = 1 \frac{1}{4} [/tex]

Thank you.

Answer:

1.25

Step-by-step explanation:

We can start by multiplying the top part of the fraction. On the top, we have 25, 3, and 1. 25x3x1=75

Now we do the bottom. We have 5 and 12. 5x12=60

Now that we have both parts, we put it back into the fraction.

75/60

75/60=1.25

There are 67 questions on an exam. If you miss 8 of these questions your grade is _______ %.

Answers

Answer:

88%

Step-by-step explanation:

There are 67 questions on an exam

You miss 8 questions

The first step is to calculate the number of correct questions

= 67-8

= 59

Therefore the grade can be calculated as follows

= 59/67 × 100

= 0.880 × 100

= 88%

Hence the grade is 88%

Square root 50 as a decimal

Answers

the square root of 50 as a decimal is 7.07106781

Answer:

I got 7.0 try that.

What is the profit percentage if the selling price is Rs 3000 and the cost price is RS 2000? * 5% 15% 50% 100%

Answers

Answer:

100% 50% 5% RS2000 Rs 3000

9 200 711 to the nearst ten

Answers

Answer:

9,200,711 rounded would be 9,200,710

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

ANSWER FAST!!!!!! 25 POINTS!!!!!!!!

Answers

Answer:

X,Z,Y

Step-by-step explanation:

9π=28.27

√3/2=0.866

z=27.5

remember all are in cm^2 so no conversion is needed

Answer:

Circles X, Z, Y.

A political scientist surveys 38 of the current 153 representatives in a state's congress.

Answers

Answer:

What is the question? Is this a true or false question ?

Step-by-step explanation:

The percentage of surveys done if, A political scientist surveys 38 of the current 153 representatives in a state's congress is 25%.

What is percentage?

As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The number of surveys done = 38,

The representatives in a state's congress = 153,

Calculate the percentage as shown below,

Percentage of survey =  The number of surveys done / total representative × 100,

Percentage of survey = 38 / 153 ×100

Percentage of survey = 0.25 × 100

Percentage of survey = 25 %

To know more about percentages:

https://brainly.com/question/26080842

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The complete question is: A political scientist surveys 38 of the current 153 representatives in a state's congress. Calculate the percentage of the survey.

Drag each equation to the correct to the correct location on the table

Answers

Answer:

         x=3

2(2x-3)=65x - (3x-1)=75x-2x-4=5

        x=2

5(x+3)=254x-(2x+1)=3x+2x+3=9

Answer:

x=3

2(2x-3)=6

5x - (3x-1)=7

5x-2x-4=5

 x=2

5(x+3)=25

4x-(2x+1)=3

x+2x+3=9

Help me please!!!!!!!!!!!!!

Answers

Answer:

x = 12

Step-by-step explanation:

Given that AB = 2, AD = x, BC = 2, CD = -16 + 2x, since A, B, C, D are said to be collinear, therefore:

AB + BC + CD = AD

2 + 2 + (-16 + 2x) = x

Use this equation to solve for x

2 + 2 - 16 + 2x = x

-12 + 2x = x

Subtract 2x from both sides

-12 + 2x - 2x = x - 2x

-12 = -x

Divide both sides by -1

[tex] \frac{-12}{-1} = \frac{-x}{-1} [/tex]

12 = x (negative cancels negative)

x = 12

Triangle ABC has coordinates A(2, -5), B(1, -3), and C(6, 1). If the triangle is
rotated 180° clockwise about the origin, what are the coordinates of A'?

Answers

Answer:(2,5)

Step-by-step explanation:

plane. Explain your reasoning.
MOVIES An online DVD rental company charges $15 a month for unlimited rentals. Determine whether the total paid after each month is
proportional to number of months by graphing on the coordinate plane. Explain your reasoning.
In
hu
Oa. No, because the graph of the line does not pass through the origin.
Ob. Yes, because the graph is a straight line that passes through the origin.
Oc. No, because the graph of the line passes through the origin.
Od. Yes, because the graph is a straight line that does not pass through he origin.
hu
Thu
"hu
es
Res

Answers

Answer: Yes, because the graphic is a straight line that passes the through the origin.

Step-by-step explanation: Ik the answer because I have the answer key.

Simplify. 1/3(1−1/4)^2 please

Answers

Answer:

3/16

Step-by-step explanation:

1/3(1-1/4)^2

1/3(3/4)^2

1/3(9/16)

3/16

Answer:

[tex]\huge \boxed{\frac{3 }{16}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{3} (1-\frac{1}{4} )^2[/tex]

Solving for brackets:

[tex]\displaystyle \frac{1}{3} (\frac{4}{4} -\frac{1}{4} )^2[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{3}{4} )^2[/tex]

Squaring the fraction:

[tex]\displaystyle \frac{1}{3} (\frac{3^2 }{4^2 } )[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{9 }{16} )[/tex]

Multiplying the fractions:

[tex]\displaystyle \frac{1 \times 9 }{3 \times 16}[/tex]

[tex]\displaystyle \frac{9 }{48}[/tex]

Simplifying the fraction:

[tex]\displaystyle \frac{3 }{16}[/tex]

[tex]\rule[225]{225}{2}[/tex]

A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre

Answers

Answer:

Area in acres = 1.322 acre (Approx)

Step-by-step explanation:

Given:

Length of field = 120 yards

Width of field = 53.333 yards

Finds:

Area in acres

Computation:

1 acre = 4840 square yard

Area = 120 × 53.333

Area = 6,399.96 yard² = 6,400 yard²

Area in acres = 6,400 yard² / 4840

Area in acres = 1.322 acre (Approx)

HELP ASAP PLS pls help with all the questions thank you!

Answers

answer 2. min= 30.5

max=31.5

answer 3. 5 s.f

answer 4. False

Answer:not an answer but do you go to Cwcs because I go there too

Step-by-step explanation:

That’s a Meanie Genie. On an archeological dig near the highlands of Tibet, Alley discovered an ancient oil lamp. Just for laughs she rubbed the lamp. She quickly stopped laughing when a huge puff of magenta smoke spouted from the lamp and an ornery genie Murray appeared. Murray gave her two balance scales and nine identical stones as per her three wishes. Alley may use each of the scales exactly once. Choose a possible way for Alley to select the slightly heavier stone containing Ramanujan from among the nine identical-looking stones.

Answers

Answer:

Step-by-step explanation:

Arrange the stones into 3groups of 3and place one group on one side of the first balance scale and another group on the other side.

If both sides weigh the same, then she knows that the (heavier) jewel must be in the third group of three. However, if one side is heavier than the other, then she knows that the jewel is one of the three that weighed more. In either case, after only one weighing, Alley is able to identify a group of only three stones among which is the Rama Nujan.

Then take 2 of the 3 stones and place one on each side of the second scale. If one weighs more than the other, then she knows that this stone is the one containing the jewel. If they both weigh the same, then she knows that the third stone must contain the jewel.

A Meanie Genie.

An archeological dig was performed by a team of researchers near the highlands of the Tibet and alley found an ancient oil lamp. She rubbed the lamp and saw a huge puff of magenta smoke coming from it. Later in the genie appeared. She gave him a balance scale and nine identical stones.

Hence answer is the third stone contains jew.

After the arrangement, of the 3 types of stones one side of the first balance scale and another on the group of the other side. Both balances scale to weight the same the heavier consists of the jew than the others.Taking two and three on the scale she knows that the third is having the jewel.Thus alley choose a slightly heavier stone which continued the  Ramanujan from the 9 identical ones.

Learn more about the Meanie Genie.

brainly.com/question/12420511.

The base of 14​-foot ladder is 6 feet from a building. If the ladder reaches the flat​ roof, how tall is the​ building?

Answers

Answer:

Approximatly 12.65

Step-by-step explanation:

You would use the pythagorean Theoram for this.

[tex]a^{2}+6^{2}=14^{2}[/tex]

[tex]a^{2}+36=196[/tex]

Subtract 36 from both sides:

[tex]a^{2}=160[/tex]

Square 160 to remove the exponent on "a":

[tex]a=\sqrt{160}[/tex]

[tex]a≈ 12.65[/tex]

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The base of 14​ feet ladder is 6 feet from a building. Then the length of the hypotenuse is 14 feet and the base is 6 feet. Then the height of the building will be given by the Pythagoras theorem.

If the ladder reaches the flat​ roof, then the height of the building will be

H² = P² + B²

14² = P² + 6²

196 = P² + 36

P² = 196 - 36

P² = 160

P = 12.65 feet

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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MULTIPLE CHOICE QUESTION
What type of exponent needs absolute value bars?

link
odd
even

Answers

Answer:

even

Step-by-step explanation:

Even is the answerrr

A small apple weighs 4.5 ounces. If it is divided into 4 equal pieces, how much does each piece weigh?

Answers

4÷4.5=0.89
good luck if you need to work shown just let me know

Find f(-7) if f(x) = 2x+8.
-6
03
02
22

Answers

The answer for you problem is -6.

2(-7)+8
-14 +8
-6
-6, because (-7) x 2 = -14, + 8 = -6.
Other Questions
Read the third stanza from the poem "Sympathy."I know why the caged bird sings, ah me,When his wing is bruised and his bosom sore,When he beats his bars and he would be free;It is not a carol of joy or glee,But a prayer that he sends from his hearts deep core,But a plea, that upward to Heaven he flingsI know why the caged bird sings!Part AIn the third stanza of the poem "Sympathy," what can be inferred about why the bird beats its wings against the bar?to try to signal its owner to release itto keep time to the music in its heartto attempt to fly despite being cagedto send a prayer to be released from its cageQuestion 2Part BWhich line from the third stanza in the poem best supports the answer in Part A?"When his wing is bruised and his bosom sore,""But a plea, that upward to Heaven he flings""It is not a carol of joy or glee,""When he beats his bars and he would be free;" What is the Apache Housing like Which of the following is true? a. A hypothesis is a measure, such as price or quantity, that can take on different values at different times. b. To test a hypothesis is the last step under the scientific method of studying economic problems. c. To identify a question and define the relevant variables is the last step under the scientific method. d. Assumption refers to a theory about how key variables relate to one another. The Dorilane Company produces a set of wood patio furniture consisting of a table and four chairs. The company has enough customer demand to justify producing its full capacity of 3,800 sets per year. Annual cost data at full capacity follow:Direct labor $89,000Advertising $101,000Factory supervision $66,000Property taxes, factory building $20,000Sales commissions $63,000Insurance, factory $7,000Depreciation, administrative office equipment $3,000Lease cost, factory equipment $15,000Indirect materials, factory $20,000Depreciation, factory building $108,000Administrative office supplies (billing) $5,000Administrative office salaries $111,000Direct materials used (wood, bolts, etc.)$425,000Utilities, factory $40,0001. Enter the dollar amount of each cost item under the appropriate headings. Note that each cost item is classified in two ways: first, as variable or fixed with respect to the number of units produced and sold; and second, as a selling and administrative cost or a product cost. (If the item is a product cost, it should also be classified as either direct or indirect.)2. Compute the average product cost of one patio set.3. Assume that production drops to only 1,000 sets annually. Would you expect the average product cost per set to increase, decrease, or remain unchanged? Which Chinese leader did mao overthow when he became the chairman of the peoples republic of China Find the missing number to make the average correct. The average of 11, 17, 18, and ? is 17. Refined grain products are often fortified with _____ to decrease rates of _____.a. iodine; early deliveryb. vitamin A; fetal heart abnormalitiesc. folic acid; early deliveryd. iron; neural tube defectse. folic acid; neural tube defects At the end of the current period, Maltese, Inc. reports the following amounts: Assets = $54,200; Liabilities = $26,300; Dividends = $2,700; Revenues = $18,500; Expenses = $13,400.Calculate net income and stockholders' equity at the end of the period. Can someone help my son with this its homework and he dont understand it The Persian empire was the largest of its day its borders stretched between which two rivers? Should underperforming restaurants be closed or sold? complete the kahani story Solve 20x + 5y = 15 for y Whats the number between -6 and -7 on a number line 48) The solution set of theequation x2/3 + x1/3 - 2 = 0 is ... How did the Reconstruction Act of 1867 assist minority groups? Physical properties cannot separate a into the elements it contains What are non-examples of a nucleus Beaks in African black-bellied seedcracker finches are small or large, but not intermediate in size. This is an example of When the Australian colonies decided to form the Commonwealth of Australia in 1901, the new country was a Question 20 options: A. monarchy. B. republic. C.dictatorship. D. dominion.